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Article Dans Une Revue Journal of Functional Analysis Année : 2017

Conditional measures of generalized Ginibre point processes

Résumé

The main result of this paper is that conditional measures of generalized Ginibre point processes, with respect to the configuration in the complement of a bounded open subset on $\mathbb{C}$, are orthogonal polynomial ensembles with weights found explicitly. An especially simple formula for conditional measures is obtained in the particular case of radially-symmetric determinantal point processes, including the classical Ginibre point process.
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Dates et versions

hal-01483605 , version 1 (06-03-2017)
hal-01483605 , version 2 (01-05-2017)

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Citer

Alexander I. Bufetov, Yanqi Qiu. Conditional measures of generalized Ginibre point processes. Journal of Functional Analysis, 2017, 272 (11), pp.4671-4708. ⟨10.1016/j.jfa.2017.03.004⟩. ⟨hal-01483605v2⟩
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